Left-left squark mixing in $K^{+}\to {\pi }^{+}\nu \bar{\nu }$ and minimal SUSY

Abstract

We analyze the role of the left-left squark mixing in the rare $K^{+}\to {\pi }^{+}\nu \bar{\nu }$ decay within the minimal supersymmetry with a large $\tan \beta$. A Higgs boson mass of 125 GeV has been taken into account leading to correlation between stop masses and trilinear soft supersymmetry breaking coupling $A_{\tilde{t}}$. We find that measurable effects, similar to that of the well known $LR$ squark mixing terms, are possible for large $A_{\tilde{t}}$ combined with the off-diagonal $LL$-insertions. Precise measurements of the decay rate are expected from the ongoing NA62 experiment at CERN. We emphasize that the effect we present can put certain limits on the left-left flavor changing structure of the squark mass matrix.

Comments: 16 pages, 10 figures, submitted to Int. J. Mod. Phys. A (IJMPA)